Davis broke the lunate bone in his left wrist when he fell to the floor in a collision with 9 minutes, 16 seconds remaining in Wednesday's 64-54 loss to Duke. He is the Tar Heels' leading rebounder and shot blocker, and their second-leading scorer.
His wrist will be immobilized for at least the next six weeks. Tests Thursday showed a fracture but not ligament damage. Surgery is not planned at this time.
North Carolina (13-11, 2-7 ACC), which has lost seven of its last eight games, plays host to N.C. State at 4 p.m. Saturday.